A Normal Form Theorem for Brjuno Skew-systems through Renormalization
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چکیده
We develop a dynamical renormalization method for the problem of local reducibility of analytic linear quasi-periodic skew-product flows on T2×SL(2,R). This approach is based on the continued fraction expansion of the linear base flow and deals with ’small-divisors’ by turning them into ’large-divisors’. We use this method to give a new proof of a normal form theorem for a Brjuno base flow.
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تاریخ انتشار 2005